Thread: communication function problems

1. Find an example of a function that produces the same image when its graph is reflected in the y axis as it does when its graph is reflected in the x axis.

2. find a function that is equal to its own inverse

3. how many different functions are there that are equal to their own inverse?

Please help-

Originally Posted by euclid2

1. Find an example of a function that produces the same image when its graph is reflected in the y axis as it does when its graph is reflected in the x axis.

how about any circle centered at the origin?

2. find a function that is equal to its own inverse

how about the line y = x?

3. how many different functions are there that are equal to their own inverse?

infinitely many

how about trying it? tell me a family of functions that will satisfy this. think in terms of graphs. do you know what finding the inverse means graphically?

Originally Posted by Jhevon

how about any circle centered at the origin?

how about the line y = x?

infinitely many

how about trying it? tell me a family of functions that will satisfy this. think in terms of graphs. do you know what finding the inverse means graphically?

Can you give me an example of an equation for 1.?

Originally Posted by euclid2

Can you give me an example of an equation for 1.?

i can, but i won't

as i said, ANY circle centered at the origin will do. just come up with one. you know what the equation of a circle centered at the origin looks like, right? if not, you should. look it up

Originally Posted by Jhevon

i can, but i won't

as i said, ANY circle centered at the origin will do. just come up with one. you know what the equation of a circle centered at the origin looks like, right? if not, you should. look it up

(x - h)2 + (y - k)2 = r2
Is this the equation you are speaking of?
although why are you mentioning circles if a circle is not a function

Originally Posted by euclid2

(x - h)2 + (y - k)2 = r2
Is this the equation you are speaking of?
although why are you mentioning circles if a circle is not a function

ah, yes, function, haha . i was thinking of graphs

ok, think "odd function" here. what examples can you come up with? do they work?

Originally Posted by Jhevon

ah, yes, function, haha . i was thinking of graphs

ok, think "odd function" here. what examples can you come up with? do they work?

Perhaps f(x)= 1/x?

Originally Posted by euclid2

Perhaps f(x)= 1/x?

yes, that works.

i would have expected you to try something simpler, but that's fine